This value is estimated to be an average dust haze dimming of 3.11% for the MY29 planetary atmospheric temperature data (Table 9).
 
3.6   Mars Global Average Emissivity (MGAE) Sensitivity Test.
The Mars Global Average Emissivity (MGAE) used herein is derived from matching the VPE for Mars to the average annual nighttime surface air temperature. Assuming a diabatic transfer of thermal flux energy from the air to the surface and an open atmospheric window then the surface emissivity is calculated to be ε=0.876. Using this value, a dust haze solar flux dimming of 3.11% is calculated by DAET inverse modelling for a GAT constraint of 211.8 Kelvin.
Conversely Savijärvi, et. al. (2005) [3] report that the Martian air absorbs 1% of Solar Radiation and that the Solar attenuation by dust is 26% at the solar zenith. Using their value of a global dust haze solar flux dimming of 1% then the MGAE value can also be determined by DAET inverse modelling for a GAT constraint of 211.8 Kelvin. The DAET climate model reports that ε=0.880 in this case. This simple sensitivity test demonstrates that as the dust opacity weakens and the air captures less solar energy, then the surface must become darker and absorb more insolation to allow the DAET model to report the GAT constraint of 211.8 Kelvin.
In a dynamic environment such as the dust laden troposphere of Mars both dust opacity and clear sky surface albedo are observed to vary [34], for example by dark dust storm deposits occurring on the bright polar icecaps during summer solstice when the Tropical convection cell expands to become hemisphere encompassing (Figures 1.c, 2.c). The relative stability of the calculated MGAE under different dust loadings supports the modelling hypotheses of using the VPE with an assumption of a fully open atmospheric window and suggests that global surface temperature values are a key component of dust circulation vigour [7].
 
3.7   DAET Model Design Features.
There are three key facts about planetary atmosphere on terrestrial globes that determine the climatic response of the atmospheric system: -
1.      That the presence of even a fully thermally radiant transparent mobile-fluid atmosphere raises the global average surface temperature above that of a rotating vacuum world.
2.      That this thermally radiant transparent atmosphere both retains and recycles solar energy, and achieves a stable energy flow across the planet’s surface.
3.      The stable limit of the energy flow within the system is set by the partition ratio of energy between the radiant loss to space of the emitting surface of both hemispheres, and the quantity of energy retained and recycled by the air.
The action of atmospheric heating by insolation involves the collection of energy by the following four physical processes:
1.      The interception of downwelling solar energy by atmospheric particles (dust and aerosols) and absorptive polyatomic gases thereby heating the atmosphere.
2.      The action of conduction whereby the lit hemisphere solar heated solid surface warms the basal air layer above the ground by physical contact.
3.      The action of convection whereby the warmed basal atmospheric layer parts company from the heated surface by the gravity involved process of buoyancy mediated vertical translation of air.
4.      The process of thermal radiant opacity whereby the mean free path of thermal radiant energy is significantly less than the physical width of the atmospheric layer being traversed by the upwelling beam of radiant energy.
Each of these four physical processes behaves as either an energy balance or diabatic process (processes 1, 2 and 4) or as an energy imbalance or adiabatic process (process 3). It is process 3, adiabatic convection that permits the flux-gate mediated storage of thermal kinetic and gravitational potential energy within the mobile fluid medium being impacted by a radiant energy flux in the presence of a gravity field.
In the case of the low-pressure atmosphere of Mars the energy flux from the lit solar heated solid surface into the overlying atmosphere is a diabatic process whereby 50% of the flux is transmitted into the atmosphere by conduction and 50% of the flux is directly lost to space via the atmospheric window.
The action of atmospheric cooling involves the loss of energy by the following two physical processes:
1.      Thermal radiant emission to space where the opacity interception window is open. This takes place either through the surface atmospheric window [35] or through low density air of whatever composition at air pressures typically below 0.1 bar [13]. N.B. the physical cooling of an air mass as it rises away from the ground surface under the action of convection is not an energy loss process.
2.      Vibrational flexure associated with either the asymmetric bending motion of polyatomic molecules (those gases with three or more covalent bonded atoms) or the propagation of flexural shear waves through physical solids (either the planetary surface or atmospheric dust, aerosols and ice particles). N.B. Shear wave flexure of a solid is the coupling mechanism that permits the loss of kinetic energy (a mass motion quality) from a physical material and its transformation into radiant energy (an electromagnetic quality). Because fluids and gases cannot transmit shear waves, these fluid media therefore rely on the presence of embedded particles that can sustain flexure (dust, ice and also polyatomic gases) to facilitate the process of radiant cooling from their physical mass.
 
3.8   DAET Model Design Structure.
The mathematical design for the structure used in the Dynamic-Atmosphere Energy-Transport (DAET) climate model replicates a series of descending fractions (halves-of-halves); the infinite summation of which has as its limit the finite number one. The computational process used to generate the stable number outcome of a mean global surface air temperature is shown in Table 10.